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Finding the Fourth Proportional to 944.05, 1,418.12 and 821.03

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Solution

The fourth proportional to 944.05, 1,418.12 and 821.03 is: 1,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.05 : 1,418.12 = 821.03 : x
  2. Step 2: Convert to fraction form
    944.05/1,418.12 = 821.03/x
  3. Step 3: Cross multiply
    944.05x = 1,418.12 × 821.03
  4. Step 4: Simplify right side
    944.05x = 1,164,314.03
  5. Step 5: Solve for x
    x = 1,164,314.03/944.05
  6. Step 6: Final answer
    x = 1,233.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.